34824 has 16 divisors (see below), whose sum is σ = 87120. Its totient is φ = 11600.

The previous prime is 34819. The next prime is 34841. The reversal of 34824 is 42843.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 34824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 702 + ... + 749.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2³⁴⁸²⁴ is an apocalyptic number.

It is an amenable number.

34824 is an abundant number, since it is smaller than the sum of its proper divisors (52296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43560).

34824 is a wasteful number, since it uses less digits than its factorization.

34824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1460 (or 1456 counting only the distinct ones).

The product of its digits is 768, while the sum is 21.

The square root of 34824 is about 186.6118967269. The cubic root of 34824 is about 32.6557416380.

It can be divided in two parts, 3482 and 4, that added together give a triangular number (3486 = T₈₃).

The spelling of 34824 in words is "thirty-four thousand, eight hundred twenty-four".